This explicit formula was first presented in [1]}.
We finally remark that the above construction can be
carried out also at the level of the consistency cube displayed
in Fig. REF  which is then embedded in a three dimensional
lattice \(\mathbb {Z}^{3}\)  with coordinates \( ( n,m,p )\) .
The outcome of the procedure is a sextuplet in which
\(\bar{A}=T_{p}A\) , \(\bar{B}=T_{n}B\)  and \(\bar{C}=T_{m}C\) 
where \(T_n h_{n,m,p}=h_{n+1,m,p}\) , \(T_m h_{n,m,p}=h_{n,m+1.p}\)  and
\(T_{p} h_{n,m,p}=h_{n,m,p+1}\)  are translation operators.
Therefore on the lattice the sextuplet becomes, as a matter of fact,
a triplet of equations.
For this reason when dealing with consistent equations embedded
on the lattice we will speak about a triplet of equations.
For more details on the construction of equations on the lattice
from the single cell equations,
we refer to the original papers [2]}, [3]}, [4]}, [5]},
to the Appendix in [6]} and to [7]}.
